Below you will find links to each section of our study materials, which are categorised by module and sub-topic. For every single sub-topic you will find a learning goal, worked examples, all exam questions ever on that topic (with worked solutions) and exam tips.

Core 1

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Topic Sub-Topic Learning Goal Study Notes Worked Examples Exam Questions Exam Tips
Algebra & Functions
The Laws of Exponents for Rational Indices
The Use and Manipulation of Surds
Quadratic Functions and their Graphs
The Discriminant of a Quadratic Function
Solution of Quadratic Equations
Solving Simultaneous Equations
Solution of Linear and Quadratic Inequalities
Algebraic Manipulation of Polynomials
Graphs of Functions
Simple Transformations of Graphs
Coordinate Geometry
The Equation of a Straight Line
Conditions for Lines to be Parallel or Perpendicular
Sequences and Series
General Sequences
Arithmetic Series
Differentiation
The Derivative of a Function
Differentiating
Applications of Differentiation
Integration
Indefinite Integration as the Reverse of Differentiation
Integrating